Chapter 13, Problem 13P

You are designing a manned submersible to withstand the pressure of seawater at the bottom of the Mariana Trench, which is one of the deepest parts of the earth s oceans. The bottom of the trench is at a depth of 10,900 m. (a) What is the gauge pressure at this depth? (You can ignore the small changes in the density of the water with depth.) (b) What is the inward force on a circular glass window 5.0 cm in diameter due to the water outside? (c) If the internal pressure is 1 atm, what outward force does this produce on the window? (You may ignore the small variation in pressure over the surface of the window.)